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3 years ago

Convert the rate 30 cm/s to m/h

1 answer:

3 0

$1m=100cm\to1cm=\dfrac{1}{100}m\\\\1h=3600s\to1s=\dfrac{1}{3600}h\\\\\\30\dfrac{cm}{s}=30\cdot\dfrac{\frac{1}{100}}{\frac{1}{3600}}\ \dfrac{m}{h}=30\cdot\dfrac{1}{100}\cdot3600\ \dfrac{m}{h}=30\cdot36\ \dfrac{m}{h}=\boxed{1,080\ \frac{m}{h}}\\\\\\Answer:\boxed{30\frac{cm}{s}=1,80\frac{m}{h}}$

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Can someone please help, I need this done soon :))

Sonja [21]

The volume of the pyramid is $726 \mathrm\ {cm}^{3}$

Explanation:

The height of the square pyramid is 18 cm

The base of the square pyramid is 11 cm

The volume of the square pyramid can be determined using the formula,

$V=\frac{1}{3} b^{2} h$

Substituting $b=11$ and $h=18$ in the formula, we have,

$V=\frac{1}{3} (11)^{2} (18)$

Simplifying, we have,

$V=\frac{1}{3} (121)(18)$

Multiplying, we get,

$V=\frac{2178}{3}$

Dividing, we get,

$V=726 \ cm^3$

Thus, the volume of the pyramid is $726 \mathrm\ {cm}^{3}$

5 0

2 years ago

Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system. x > 4 y

8_murik_8 [283]

The first thing you should do in that case is to graph both lines.
Once graphed you must see which region of the Cartesian plane they meet their respective inequalities.
The solution of the inequation system is the shaded region shown.
The point sought is
P = (5, -2)
answer
<span> (5, –2)</span>

7 0

3 years ago

Suppose that the functions p and q are defined as follows.p(x) = -2x + 1q(x)=-x?Find the following.

MariettaO [177]

First let us find

$(q\mathrm{}p)(x)$ $\begin{gathered} q(p(x))=q(-2x+1) \\ =-(-2x+1)^2 \\ So\text{ } \\ (q\mathrm{}p)(5)=-(-2\times5+1)^2 \\ =-(9)^2 \\ =-81 \end{gathered}$

Now let;s solve the second part

$\begin{gathered} (p\mathrm{}q)(x)=p(q(x)) \\ =p(-x^2) \\ =-2(-x^2)+1 \\ =2x^2+1 \\ So\text{ (p.q)(5) will be } \\ (p\mathrm{}q)(5)=2(5)^2+1 \\ =51 \end{gathered}$

6 0

1 year ago

What is the slope-intercept equation of the line whose y-intercept is<br> 8 with slope -5?

ira [324]

Answer:

y = - 5x + 8

Step-by-step explanation:

Given that :

Intercept = 8

Slope = - 5

Recall, the general. Slope - intercept equation :

y = bx + c

Where;

b = slope ; c = intercept

Plugging the Given slope and intercept values, equation becomes ;

y = - 5x + 8

3 0

2 years ago

A soup kitchen makes 15 gallons of soup each day a quarter of the soup is served and the rest is saved for the next day , what i

Sophie [7]

Number of ounces left is 1120

Step-by-step explanation:

Step 1: Find number of ounces left after each day.

Given total soup prepared each day = 15 gallons

Amount served each day = 1/4 of 15 = 15/4 gallons

Amount left after each day = 15 - 15/4 = 60 - 15/4 = 35/4 gallons

Step 2: Convert gallons into ounces. 1 gallon = 128 ounces

35/4 gallons = 35/4 × 128 = 1120 ounces

5 0

3 years ago